%------------------------------------------------------------------------------
% File : SNARK---20120808r022
% Problem : SEU271+1 : TPTP v8.1.0. Released v3.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run-snark %s %d
% Computer : n028.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 600s
% DateTime : Tue Jul 19 14:20:48 EDT 2022
% Result : Theorem 0.56s 0.72s
% Output : Refutation 0.56s
% Verified :
% SZS Type : Refutation
% Derivation depth : 6
% Number of leaves : 11
% Syntax : Number of clauses : 22 ( 13 unt; 4 nHn; 16 RR)
% Number of literals : 43 ( 7 equ; 22 neg)
% Maximal clause size : 6 ( 1 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 7 ( 5 usr; 1 prp; 0-2 aty)
% Number of functors : 6 ( 6 usr; 1 con; 0-2 aty)
% Number of variables : 21 ( 1 sgn)
% Comments :
%------------------------------------------------------------------------------
cnf(9,axiom,
( X = Y
| ~ subset(X,Y)
| ~ subset(Y,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d10_xboole_0) ).
cnf(11,axiom,
( ~ relation(X)
| antisymmetric(X)
| ~ is_antisymmetric_in(X,relation_field(X)) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d12_relat_2) ).
cnf(12,axiom,
( ~ relation(X)
| X != inclusion_relation(Y)
| relation_field(X) = Y ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_wellord2) ).
cnf(13,axiom,
( ~ relation(X)
| X != inclusion_relation(Y)
| ~ in(Z,Y)
| ~ in(U,Y)
| ~ in(ordered_pair(Z,U),X)
| subset(Z,U) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d1_wellord2) ).
cnf(20,axiom,
( ~ relation(X)
| is_antisymmetric_in(X,Y)
| in('SKOLEMAAAV3'(Y,X),Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_relat_2) ).
cnf(21,axiom,
( ~ relation(X)
| is_antisymmetric_in(X,Y)
| in('SKOLEMAAAV4'(Y,X),Y) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_relat_2) ).
cnf(22,axiom,
( ~ relation(X)
| is_antisymmetric_in(X,Y)
| in(ordered_pair('SKOLEMAAAV3'(Y,X),'SKOLEMAAAV4'(Y,X)),X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_relat_2) ).
cnf(23,axiom,
( ~ relation(X)
| is_antisymmetric_in(X,Y)
| in(ordered_pair('SKOLEMAAAV4'(Y,X),'SKOLEMAAAV3'(Y,X)),X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_relat_2) ).
cnf(24,axiom,
( ~ relation(X)
| is_antisymmetric_in(X,Y)
| 'SKOLEMAAAV3'(Y,X) != 'SKOLEMAAAV4'(Y,X) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',d4_relat_2) ).
cnf(27,axiom,
relation(inclusion_relation(X)),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',dt_k1_wellord2) ).
cnf(64,negated_conjecture,
~ antisymmetric(inclusion_relation('SKOLEMAAAV15')),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',t5_wellord2) ).
cnf(87,plain,
~ is_antisymmetric_in(inclusion_relation('SKOLEMAAAV15'),relation_field(inclusion_relation('SKOLEMAAAV15'))),
inference('UR-RESOLVE',[status(thm)],[11,27,64]) ).
cnf(106,plain,
relation_field(inclusion_relation(X)) = X,
inference('HYPERRESOLVE',[status(thm)],[12,27,theory(equality)]) ).
cnf(108,plain,
~ is_antisymmetric_in(inclusion_relation('SKOLEMAAAV15'),'SKOLEMAAAV15'),
inference('REWRITE',[status(thm)],[87,106,theory(equality)]) ).
cnf(148,plain,
in('SKOLEMAAAV4'('SKOLEMAAAV15',inclusion_relation('SKOLEMAAAV15')),'SKOLEMAAAV15'),
inference('UR-RESOLVE',[status(thm)],[21,108,27]) ).
cnf(149,plain,
in('SKOLEMAAAV3'('SKOLEMAAAV15',inclusion_relation('SKOLEMAAAV15')),'SKOLEMAAAV15'),
inference('UR-RESOLVE',[status(thm)],[20,108,27]) ).
cnf(150,plain,
'SKOLEMAAAV3'('SKOLEMAAAV15',inclusion_relation('SKOLEMAAAV15')) != 'SKOLEMAAAV4'('SKOLEMAAAV15',inclusion_relation('SKOLEMAAAV15')),
inference('UR-RESOLVE',[status(thm)],[24,108,27]) ).
cnf(151,plain,
in(ordered_pair('SKOLEMAAAV4'('SKOLEMAAAV15',inclusion_relation('SKOLEMAAAV15')),'SKOLEMAAAV3'('SKOLEMAAAV15',inclusion_relation('SKOLEMAAAV15'))),inclusion_relation('SKOLEMAAAV15')),
inference('UR-RESOLVE',[status(thm)],[23,108,27]) ).
cnf(152,plain,
in(ordered_pair('SKOLEMAAAV3'('SKOLEMAAAV15',inclusion_relation('SKOLEMAAAV15')),'SKOLEMAAAV4'('SKOLEMAAAV15',inclusion_relation('SKOLEMAAAV15'))),inclusion_relation('SKOLEMAAAV15')),
inference('UR-RESOLVE',[status(thm)],[22,108,27]) ).
cnf(481,plain,
subset('SKOLEMAAAV4'('SKOLEMAAAV15',inclusion_relation('SKOLEMAAAV15')),'SKOLEMAAAV3'('SKOLEMAAAV15',inclusion_relation('SKOLEMAAAV15'))),
inference('HYPERRESOLVE',[status(thm)],[13,151,27,148,149,theory(equality)]) ).
cnf(485,plain,
~ subset('SKOLEMAAAV3'('SKOLEMAAAV15',inclusion_relation('SKOLEMAAAV15')),'SKOLEMAAAV4'('SKOLEMAAAV15',inclusion_relation('SKOLEMAAAV15'))),
inference('UR-RESOLVE',[status(thm)],[9,481,150]) ).
cnf(488,plain,
$false,
inference('REWRITE',[status(thm)],[inference('UR-RESOLVE',[status(thm)],[13,485,27,149,148,theory(equality)]),152]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SEU271+1 : TPTP v8.1.0. Released v3.3.0.
% 0.03/0.13 % Command : run-snark %s %d
% 0.13/0.34 % Computer : n028.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 600
% 0.13/0.34 % DateTime : Sun Jun 19 14:32:00 EDT 2022
% 0.13/0.34 % CPUTime :
% 0.20/0.46 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.47 *
% 0.20/0.47 *
% 0.20/0.47 #<PACKAGE "SNARK-USER">
% 0.20/0.47 *
% 0.20/0.47 SNARK-TPTP-OPTIONS
% 0.20/0.47 *
% 0.20/0.47 ((AGENDA-LENGTH-LIMIT NIL) (AGENDA-LENGTH-BEFORE-SIMPLIFICATION-LIMIT NIL)
% 0.20/0.47 (USE-HYPERRESOLUTION T) (USE-UR-RESOLUTION T) (USE-PARAMODULATION T)
% 0.20/0.47 (USE-FACTORING :POS)
% 0.20/0.47 (USE-LITERAL-ORDERING-WITH-HYPERRESOLUTION 'LITERAL-ORDERING-P)
% 0.20/0.48 (USE-LITERAL-ORDERING-WITH-PARAMODULATION 'LITERAL-ORDERING-P)
% 0.20/0.48 (ORDERING-FUNCTIONS>CONSTANTS T) (ASSERT-CONTEXT :CURRENT)
% 0.20/0.48 (RUN-TIME-LIMIT 300) (LISTEN-FOR-COMMANDS NIL)
% 0.20/0.48 (USE-CLOSURE-WHEN-SATISFIABLE T) (PRINT-ROWS-WHEN-GIVEN NIL)
% 0.20/0.48 (PRINT-ROWS-WHEN-DERIVED NIL) (PRINT-UNORIENTABLE-ROWS NIL)
% 0.20/0.48 (PRINT-ROW-WFFS-PRETTILY NIL) (PRINT-FINAL-ROWS :TPTP)
% 0.20/0.48 (PRINT-OPTIONS-WHEN-STARTING NIL) (USE-VARIABLE-NAME-SORTS NIL)
% 0.20/0.48 (USE-PURITY-TEST T) (USE-RELEVANCE-TEST T) (DECLARE-TPTP-SYMBOLS1)
% 0.20/0.48 (DECLARE-TPTP-SYMBOLS2))
% 0.20/0.48 *
% 0.20/0.48 "."
% 0.20/0.48 *
% 0.20/0.48 ; Begin refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-19T14:32:00
% 0.20/0.48 ; Running SNARK from /davis/home/graph/tptp/Systems/SNARK---20120808r022/Source/snark-system.lisp in SBCL 1.0.12 on n028.cluster.edu at 2022-06-19T14:32:00
% 0.20/0.49
% 0.20/0.49 ; Recognized commutativity assertion (= (|unordered_pair| ?X ?Y) (|unordered_pair| ?Y ?X)).
% 0.20/0.50 ; Recognized commutativity assertion (= (|set_union2| ?X ?Y) (|set_union2| ?Y ?X)).
% 0.20/0.50 ; Recognized right identity assertion (= (|set_union2| ?X |empty_set|) ?X).
% 0.20/0.50 ; Declaring unordered_pair to be commutative.
% 0.20/0.50 WARNING:
% 0.20/0.50 |one_to_one| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.20/0.50 WARNING:
% 0.20/0.50 |relation_empty_yielding| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.20/0.50 WARNING:
% 0.20/0.50 |function| is a 1-ary relation that occurs only positively; disabling rows that contain it.
% 0.56/0.72 ; Declaring set_union2 to be commutative.
% 0.56/0.72
% 0.56/0.72 #||
% 0.56/0.72 % SZS status Theorem for /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.56/0.72 % SZS output start Refutation
% See solution above
% 0.56/0.72 ||#
% 0.56/0.72
% 0.56/0.72 ; Summary of computation:
% 0.56/0.72 ; 1826 formulas have been input or derived (from 292 formulas).
% 0.56/0.72 ; 488 (27%) were retained. Of these,
% 0.56/0.72 ; 35 ( 7%) were simplified or subsumed later,
% 0.56/0.72 ; 453 (93%) are still being kept.
% 0.56/0.72 ;
% 0.56/0.72 ; Run time in seconds excluding printing time:
% 0.56/0.72 ; 0.009 4% Read assertion file (1 call)
% 0.56/0.72 ; 0.002 1% Assert (52 calls)
% 0.56/0.72 ; 0.032 13% Process new row (1,322 calls)
% 0.56/0.72 ; 0.133 54% Resolution (582 calls)
% 0.56/0.72 ; 0.006 2% Paramodulation (291 calls)
% 0.56/0.72 ; 0.000 0% Factoring (32 calls)
% 0.56/0.72 ; 0.005 2% Condensing (200 calls)
% 0.56/0.72 ; 0.006 2% Forward subsumption (200 calls)
% 0.56/0.72 ; 0.002 1% Backward subsumption (121 calls)
% 0.56/0.72 ; 0.001 0% Clause clause subsumption (112 calls)
% 0.56/0.72 ; 0.017 7% Forward simplification (1,265 calls)
% 0.56/0.72 ; 0.002 1% Backward simplification (488 calls)
% 0.56/0.72 ; 0.000 0% Ordering (351 calls)
% 0.56/0.72 ; 0.000 0% Sortal reasoning (32 calls)
% 0.56/0.72 ; 0.000 0% Purity testing (1 call)
% 0.56/0.72 ; 0.030 12% Other
% 0.56/0.72 ; 0.245 Total
% 0.56/0.72 ; 0.247 Real time
% 0.56/0.72 ;
% 0.56/0.72 ; Term-hash-array has 812 terms in all.
% 0.56/0.72 ; Feature-vector-row-index has 119 entries (119 at peak, 121 added, 2 deleted).
% 0.56/0.72 ; Feature-vector-row-index has 506 nodes (506 at peak, 506 added, 0 deleted).
% 0.56/0.72 ; Retrieved 165 possibly forward subsuming rows in 200 calls.
% 0.56/0.72 ; Retrieved 16 possibly backward subsumed rows in 121 calls.
% 0.56/0.72 ; Path-index has 785 entries (785 at peak, 826 added, 41 deleted).
% 0.56/0.72 ; Path-index has 2,180 nodes (2,180 at peak, 2,221 added, 41 deleted).
% 0.56/0.72 ; Trie-index has 785 entries (785 at peak, 826 added, 41 deleted).
% 0.56/0.72 ; Trie-index has 3,566 nodes (3,566 at peak, 3,654 added, 88 deleted).
% 0.56/0.72 ; Retrieved 1,814 generalization terms in 3,543 calls.
% 0.56/0.72 ; Retrieved 375 instance terms in 366 calls.
% 0.56/0.72 ; Retrieved 116,398 unifiable terms in 16,243 calls.
% 0.56/0.72 ;
% 0.56/0.72 ; The agenda of rows to give has 173 entries:
% 0.56/0.72 ; 14 with value (4 18) 10 with value (4 25) 7 with value (4 31)
% 0.56/0.72 ; 33 with value (4 19) 3 with value (4 26) 4 with value (4 32)
% 0.56/0.72 ; 22 with value (4 20) 10 with value (4 27) 2 with value (4 34)
% 0.56/0.72 ; 6 with value (4 21) 7 with value (4 28) 9 with value (4 35)
% 0.56/0.72 ; 9 with value (4 22) 3 with value (4 29) 10 with value (4 36)
% 0.56/0.72 ; 14 with value (4 23) 2 with value (4 30) 2 with value (4 41)
% 0.56/0.72 ; 6 with value (4 24)
% 0.56/0.72 Evaluation took:
% 0.56/0.72 0.247 seconds of real time
% 0.56/0.72 0.23732 seconds of user run time
% 0.56/0.72 0.01022 seconds of system run time
% 0.56/0.72 [Run times include 0.008 seconds GC run time.]
% 0.56/0.72 0 calls to %EVAL
% 0.56/0.72 0 page faults and
% 0.56/0.72 18,692,376 bytes consed.
% 0.56/0.72 :PROOF-FOUND
% 0.56/0.72 ; End refute-file /export/starexec/sandbox2/benchmark/theBenchmark.p 2022-06-19T14:32:01
% 0.56/0.72 :PROOF-FOUND
% 0.56/0.72 *
%------------------------------------------------------------------------------